Acoustic horizons in axially symmetric relativistic accretion

Abstract

Transonic accretion onto astrophysical objects is a unique example of analogue black hole realized in nature. In the framework of acoustic geometry we study axially symmetric accretion and wind of a rotating astrophysical black hole or of a neutron star assuming isentropic flow of a fluid described by a polytropic equation of state. In particular we analyze the causal structure of multitransonic configurations with two sonic points and a shock. Retarded and advanced null curves clearly demonstrate the presence of the acoustic black hole at regular sonic points and of the white hole at the shock. We calculate the analogue surface gravity and the Hawking temperature for the inner and the outer acoustic horizons.

29 pages, 12 figures, significantly revised, sections on phonon propagation, phonon quantization, non-axisymmetric accretion and acoustic superradiance added, references added; to appear in Class. Quant. Grav. without section 2.4 which has been kept here for pedagogical reasons; section 2.4 slightly altered, misprints corrected

References in corpus (13)

• Analogue Gravity
• Quasinormal modes and classical wave propagation in analogue black holes
• Hydrodynamic Simulations of Tilted Thick-Disk Accretion onto a Kerr Black Hole
• Causal structure of acoustic spacetimes
• Quasinormal modes, Superradiance and Area Spectrum for 2+1 Acoustic Black Holes
• Superradiant scattering from a hydrodynamic vortex
• Dependence of General Relativistic Accretion on Black Hole Spin
• Excised acoustic black holes: the scattering problem in the time domain
• Observational Evidence of Accretion Disk-Caused Jet Precession in Galactic Nuclei
• Analogue Hawking Radiation from Astrophysical Black Hole Accretion
• Transonic Black Hole Accretion as Analogue System
• Behaviour of matter close to the event horizon
• Pseudo-Schwarzschild Spherical Accretion as a Classical Black Hole Analogue

Cited by in corpus (37)

• Analogue Gravity
• Black-Hole Accretion Disc as an Analogue Gravity Model
• Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states
• Acoustic black holes in curved spacetime and emergence of analogue Minkowski metric
• Hysteresis effects and diagnostics of the shock formation in low angular momentum axisymmetric accretion in the Kerr metric
• Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion
• The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion
• The Gravitational Bending of Acoustic Schwarzschild Black Hole
• Evolution of transonicity in an accretion disc
• Axisymmetric black hole accretion in the Kerr metric as an autonomous dynamical system
• Pseudo-Schwarzschild Spherical Accretion as a Classical Black Hole Analogue
• Rotating accretion flows in $D$ dimensions: sonic points, critical points and photon spheres
• Acoustic geometry through perturbation of mass accretion rate - radial flow in static spacetimes
• Fractal features in accretion discs
• Secular instability in quasi-viscous disc accretion
• On Spin Dependence of Relativistic Acoustic Geometry
• Relativistic sonic geometry for isothermal accretion in the Schwarzschild metric
• Black Hole spin dependence of general relativistic multi-transonic accretion close to the horizon
• Quasi-viscous accretion flow -- I: Equilibrium conditions and asymptotic behaviour
• Acoustic geometry obtained through the perturbation of the Bernoulli's constant
• Linear perturbations of low angular momentum accretion flow in the Kerr metric and the corresponding emergent gravity phenomena
• Relativistic sonic geometry for isothermal accretion in the Kerr metric
• Influence of the geometric configuration of accretion flow on the black hole spin dependence of relativistic acoustic geometry
• Carter-Penrose diagrams for emergent spacetime in axisymmetrically accreting black hole systems
• Influence of flow thickness on general relativistic low angular momentum accretion around spinning black holes
• Effective sound speed in relativistic accretion discs around Schwarzschild black holes
• Trapped surfaces in a hadronic fluid
• Nonlinear variations in axisymmetric accretion
• Cosmological particle creation in a hadronic fluid
• An Analytical Study on the Multi-critical Behaviour and Related Bifurcation Phenomena for Relativistic Black Hole Accretion
• Dynamical analogue spacetimes in non-relativistic flows
• Influence of matter geometry on shocked flows-I: Accretion in the Schwarzschild metric
• Analog rotating black holes in a magnetohydrodynamic inflow
• Phonon tunnels from a sonic black hole
• Gravity as emergent phenomena for spherically symmetric black hole accretion of multi-component flow with relativistic equation of state
• Emergent gravity through non-linear perturbation
• Probing Penrose-type singularities in sonic black holes